Life Expectancy of a System with Successive Stages of Deterioration

Meenaxi^1, , Dalip Singh¹ and Narender Singh²

¹Department of Mathematics, M.D. University, Rohtak-124001

²Govt College, Birohar, Jhajjar-124106

Cite this paper:
Meenaxi, Dalip Singh and Narender Singh. Life Expectancy of a System with Successive Stages of Deterioration. American Journal of Applied Mathematics and Statistics. 2019; 7(3):101-104. doi: 10.12691/ajams-7-3-3

Abstract

In this paper we present Life Expectancy and Availability of a patient suffering from Kidney disease, where the deteriorating rates follow the Weibull distribution. In our paper, we present modelling and estimate the life expectancy/mean time to absorbtion and availability of the system having four successive stages of deteriorating system. Explicit expressions for the availability, mean sojourn time and life expectancy/mean time to absorbtion are obtained consequently. Graphs of availability and mean time to absorbtion are also plotted to dispose the nature with respect to time for distinct values of deteriorating rates.

Keywords:
life expectancy mean time to absorbtion availability

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